NO

1 decompositions
 #0 -----------
   1: 5(5(x)) -> 0(5(4(0(2(5(4(5(2(1(x))))))))))
   2: 5(5(x)) -> 3(4(1(1(1(1(4(4(0(4(x))))))))))
   3: 2(5(5(x))) -> 4(2(5(4(4(0(0(1(1(2(x))))))))))
   4: 5(2(4(x))) -> 0(5(0(2(3(3(4(2(4(2(x))))))))))
   5: 5(5(2(x))) -> 0(1(3(2(3(0(3(2(5(3(x))))))))))
   6: 5(5(3(x))) -> 0(3(5(4(4(1(0(1(5(0(x))))))))))
   7: 5(5(5(x))) -> 5(3(4(1(0(1(4(5(0(0(x))))))))))
   8: 2(5(0(4(x)))) -> 4(4(3(2(4(4(5(1(0(0(x))))))))))
   9: 4(5(2(4(x)))) -> 4(1(5(5(2(0(3(1(3(3(x))))))))))
  10: 4(5(5(5(x)))) -> 1(5(1(2(0(3(2(1(0(5(x))))))))))
  11: 0(2(5(3(4(x))))) -> 3(2(4(3(1(5(1(1(3(4(x))))))))))
  12: 2(5(5(3(4(x))))) -> 4(5(4(3(1(4(0(2(4(4(x))))))))))
  13: 5(5(5(1(4(x))))) -> 3(3(0(5(0(4(3(4(4(0(x))))))))))
  14: 0(4(4(5(5(5(x)))))) -> 0(4(4(4(3(3(4(1(3(1(x))))))))))
  15: 1(2(4(5(2(4(x)))))) -> 3(3(5(3(0(4(0(3(1(3(x))))))))))
  16: 4(1(5(5(0(4(x)))))) -> 1(0(3(0(4(2(4(4(3(4(x))))))))))
  17: 4(2(5(5(1(5(x)))))) -> 2(3(4(2(1(1(3(4(2(5(x))))))))))
  18: 5(2(5(5(0(4(x)))))) -> 0(4(2(3(3(5(2(1(4(4(x))))))))))
  19: 5(5(2(4(5(0(x)))))) -> 2(1(1(4(2(4(0(4(2(0(x))))))))))
  20: 0(1(5(5(5(3(5(x))))))) -> 5(3(2(5(1(0(1(2(0(5(x))))))))))
  21: 4(4(5(2(4(2(2(x))))))) -> 4(0(5(5(4(5(1(2(2(1(x))))))))))

unjoinable peak
    5(0(5(4(0(2(5(4(5(2(1(x)))))))))))
*<- 5(5(5(x))) ->*
    0(5(4(0(2(5(4(5(2(1(5(x)))))))))))